Dynamical Behavior of a stochastic SIRS epidemic model
, 2015 In this paper we study the Kernack - MacKendrick model under telegraph noise. The telegraph noise switches at random between two SIRS models. We give out conditions for the persistence of the disease and the stability of a disease free equilibrium.
Auger, P. +3 more
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Dynamical behaviors of a discrete SIS epidemic model with standard incidence and stage structure
, 2013 A discrete SIS epidemic model with stage structure and standard incident rate which is governed by Beverton-Holt type is studied. The sufficient conditions on the permanence and extinction of disease are established.
Z. Teng, L. Nie, Jiabo Xu
semanticscholar +1 more source
Analysis of a model arising from invasion by precursor and differentiated cells
, 2013 We study the wave solutions for a degenerated reaction diffusion system arising from the invasion of cells. We show that there exists a family of waves for the wave speed larger than or equals a certain number, and below which there is no monotonic wave ...
Hou, Xiaojie
core +2 more sources
On the Dynamics of Dengue Virus type 2 with Residence Times and Vertical Transmission
, 2016 A two-patch mathematical model of Dengue virus type 2 (DENV-2) that accounts for vectors' vertical transmission and between patches human dispersal is introduced. Dispersal is modeled via a Lagrangian approach.
Bichara, Derdei +4 more
core +2 more sources
HIV with contact-tracing: a case study in Approximate Bayesian Computation
, 2010 Missing data is a recurrent issue in epidemiology where the infection process may be partially observed. Approximate Bayesian Computation, an alternative to data imputation methods such as Markov Chain Monte Carlo integration, is proposed for making ...
Cauchemez +8 more
core +3 more sources
Tobacco smoking model containing snuffing class. [PDF]
Heliyon, 2023 Padmavathi V +5 more
europepmc +1 more source
A Mechanistic Model for Long COVID Dynamics. [PDF]
Mathematics (Basel), 2023 Derrick J, Patterson B, Bai J, Wang J.
europepmc +1 more source
A non-standard numerical scheme for an alcohol-abuse model with induced-complications. [PDF]
Heliyon, 2023 Sandow EAB, Seidu B, Abagna S.
europepmc +1 more source
Splitting trees stopped when the first clock rings and Vervaat's transformation
, 2011 We consider a branching population where individuals have i.i.d.\ life lengths (not necessarily exponential) and constant birth rate. We let $N_t$ denote the population size at time $t$. %(called homogeneous, binary Crump--Mode--Jagers process).
Lambert, Amaury, Trapman, Pieter
core
Endemic oscillations for SARS-CoV-2 Omicron-A SIRS model analysis. [PDF]
Chaos Solitons Fractals, 2023 Nill F.
europepmc +1 more source